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Finding the Fourth Proportional to 5,764.96, 7,958.28 and 3,671.92

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Solution

The fourth proportional to 5,764.96, 7,958.28 and 3,671.92 is: 5,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.96 : 7,958.28 = 3,671.92 : x
  2. Step 2: Convert to fraction form
    5,764.96/7,958.28 = 3,671.92/x
  3. Step 3: Cross multiply
    5,764.96x = 7,958.28 × 3,671.92
  4. Step 4: Simplify right side
    5,764.96x = 29,222,167.50
  5. Step 5: Solve for x
    x = 29,222,167.50/5,764.96
  6. Step 6: Final answer
    x = 5,068.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.